How do you solve #y^3 - 5y^2 = 0#?

1 Answer

Factor the left-hand side to get
#color(white)("XXX")y=0 or y=5#

Explanation:

#y^3-5y^2=color(red)(y^2)(color(blue)(y-5))#

Therefore #y^3-5y^2=0#
#rArr color(red)(y^2)(color(blue)(y-5))=0#

#rArr color(red)(y^2)=0 or color(blue)(y-5)=0#

#rArr color(red)(y=0) or color(blue)(y=5)#